A construction of maximum distance profile convolutional codes with small alphabet sizes

• Main Authors: Luo, Gaojun, Cao, Xiwang, Ezerman, Martianus Frederic, Ling, San
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2023
• Subjects: Science::Mathematics; Convolutional Code; Maximum Distance Profile
• Online Access: https://hdl.handle.net/10356/170716
• Institution: Nanyang Technological University

Convolutional codes are essential in a wide range of practical applications due to their efficient non-algebraic decoding algorithms. In this paper, we first propose a new family of matrices over finite fields by combining Vandermonde and Moore matrices. Using favourable properties of the matrices i...